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Finding the Fourth Proportional to 505.28, 697.28 and 295.44

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Solution

The fourth proportional to 505.28, 697.28 and 295.44 is: 407.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.28 : 697.28 = 295.44 : x
  2. Step 2: Convert to fraction form
    505.28/697.28 = 295.44/x
  3. Step 3: Cross multiply
    505.28x = 697.28 × 295.44
  4. Step 4: Simplify right side
    505.28x = 206,004.40
  5. Step 5: Solve for x
    x = 206,004.40/505.28
  6. Step 6: Final answer
    x = 407.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.